The elastic fields in an overlay bonded to a stiffer substrate are investigated, when the system is subjected to thermally induced stress. A two-dimensional solution of the displacement field is derived for periodic discontinuities distributed in a hot mix asphalt overlay bonded to a Portland Cement Concrete pavement, where the length of the pavement before cracking develops is much larger than its layer thickness. Energy release rates are calculated from the model for three- dimensional channeling. By comparing the energy release rates with the fracture toughness of the overlay, crack initiation and crack spacing for a given temperature change can be estimated. The solutions are valuable to the pavement analyst who seeks to understand the general mechanisms of thermally induced pavement deterioration and for the researcher wishing to perform early stage verification of more complex pavement models.